Online GCD Calculator is useful to find the GCD of 420, 294, 453, 388 quickly. Get the easiest ways to solve the greatest common divisor of 420, 294, 453, 388 i.e 1 in different methods as follows.
Given Input numbers are 420, 294, 453, 388
In the factoring method, we have to find the divisors of all numbers
Divisors of 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 294 :
The positive integer divisors of 294 that completely divides 294 are.
1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
Divisors of 453 :
The positive integer divisors of 453 that completely divides 453 are.
1, 3, 151, 453
Divisors of 388 :
The positive integer divisors of 388 that completely divides 388 are.
1, 2, 4, 97, 194, 388
GCD of numbers is the greatest common divisor
So, the GCD (420, 294, 453, 388) = 1.
Given numbers are 420, 294, 453, 388
The list of prime factors of all numbers are
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 294 are 2 x 3 x 7 x 7
Prime factors of 453 are 3 x 151
Prime factors of 388 are 2 x 2 x 97
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 420, 294, 453, 388
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(420, 294) = 2940
GCD(420, 294) = ( 420 x 294 ) / 2940
= 420 / 294
= 420
Step2:
LCM(42, 453) = 6342
GCD(42, 453) = ( 42 x 453 ) / 6342
= 42 / 453
= 42
Step3:
LCM(3, 388) = 1164
GCD(3, 388) = ( 3 x 388 ) / 1164
= 3 / 388
= 3
So, Greatest Common Divisor of 420, 294, 453, 388 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 420, 294, 453, 388
The greatest common divisor of numbers 420, 294, 453, 388 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 294, 453, 388 is 1.
1. What is the GCD of 420, 294, 453, 388?
GCD of given numbers 420, 294, 453, 388 is 1
2. How to calculate the greatest common divisor of 420, 294, 453, 388?
We can find the highest common divisor of 420, 294, 453, 388 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 420, 294, 453, 388 i.e 1.
3. How can I use the GCD of 420, 294, 453, 388Calculator?
Out the numbers 420, 294, 453, 388 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.